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Finding the Third Proportional to 5,230 and 6,933

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Solution

The third proportional to 5,230 and 6,933 is: 9,190.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230 : 6,933 = 6,933 : x
  2. Step 2: Convert to fraction form
    5,230/6,933 = 6,933/x
  3. Step 3: Cross multiply
    5,230x = 6,933 × 6,933
  4. Step 4: Simplify right side
    5,230x = 48,066,489
  5. Step 5: Solve for x
    x = 48,066,489/5,230
  6. Step 6: Final answer
    x = 9,190.53

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.